774.62 is what percent of 5.208 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5.208 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 5.208, so we can write it down as 100%=5.208.
4. We know, that x% equals 774.62 of the output value, so we can write it down as x%=774.62.
5. Now we have two simple equations:
1) 100%=5.208
2) x%=774.62
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=5.208/774.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 774.62 is what percent of 5.208

100%/x%=5.208/774.62
(100/x)*x=(5.208/774.62)*x       - we multiply both sides of the equation by x
100=0.0067232965841316*x       - we divide both sides of the equation by (0.0067232965841316) to get x
100/0.0067232965841316=x
14873.655913978=x
x=14873.655913978

now we have:
774.62 is 14873.655913978% of 5.208